Part (a) Finding the probability of either A or B
We are told that events A and B are mutually exclusive. This means they cannot happen at the same time. We can say P(A and B) = 0
Furthermore,
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.4 + 0.2 - 0
P(A or B) = 0.6
<h3>Answer: 0.6</h3>
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Part (b) Finding the probability of neither A nor B
P(A or B) + P(neither A nor B) = 1
P(neither A nor B) = 1 - P(A or B)
P(neither A nor B) = 1 - 0.6
P(neither A nor B) = 0.4
The reason why this works is to imagine throwing a dart at the Venn diagram. You'll either...
- you land in A or B (pick one but not both), OR,
- you'll land outside both regions A and B.
One or the other must happen. Both events cannot happen simultaneously.
<h3>Answer: 0.4</h3>
Answer:
Restrategize on means to be setting out a little proportion for clearing your bill and also making provision for handling the project ahead at same time.
Answer:
Return trip travel time: 7h
Step-by-step explanation:
Let d be the distance.
Index 1 refers to initial trip, index 2 refers to the return trip.
v1=70mi/h
v2=40mi/h
t2=t1+3h, or t1=t2-3h (travel times)
d=v1×t1=v2×t2
v1×(t2-3)=v2×t2
v1 t2 -3 v1=v2 t2
v1 t2 - v2 t2=3 v1
t2(v1-v2)=3v1
t2=3v1/(v1-v2)
Or
t2=3×70/(70-40)=3×70/30=7h
Answer:
yes. 7 times 4.3 is equal to 30 and the first equations symbol is less then or equal to. good luck and hope this helps!
Step-by-step explanation:
Lna^b = blna
let y = lne^e
so y = lne^e = e lne
lne = 1
y = e which is a constant (Euler's number) ~= 2.718
For Euler's number estimating methods request in a comment.
